5-4 Analyzing Graphs Of Polynomial Functions Worksheet With Answers Page 11
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23b. The changes in sign indicate that there are zeros between x = –2 and x = –1 and between x = 0 and x = 1.
5-4 Analyzing Graphs of Polynomial Functions
c. No relative maxima; Relative minima: near x = –1
22. FINANCIAL LITERACY The average annual price of gasoline can be modeled by the cubic function f (x) =
3
2
0.0007x
– 0.014x
+ 0.08x + 0.96, where x is the number of years after 1987 and f (x) is the price in dollars.
a. Graph the function for
.
b. Describe the turning points of the graph and its end behavior.
c. What trends in gasoline prices does the graph suggest?
d. Is it reasonable that the trend will continue indefinitely? Explain.
SOLUTION:
a.
b . Sample answer: The graph has a relative minimum at x = 10 and then increases as x increases.
c. The graph suggests a fairly steep continuous increase and gas prices at $5 per gallon by 2012, which could be
possible.
d. Sample answer: While it is possible for gasoline prices to continue to soar at this rate, it is likely that alternate
forms of transportation and fuel will slow down this rapid increase.
Use a graphing calculator to estimate the x-coordinates at which the maxima and minima of each function
occur. Round to the nearest hundredth.
3
2
24. f (x) = –2x
+ 4x
– 5x + 8
SOLUTION:
Graph the function.
eSolutions Manual - Powered by Cognero
Page 11
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education